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12495444768 = 253243386961
BaseRepresentation
bin10111010001100100…
…10101101100100000
31012020211101100210200
423220302111230200
5201042313213033
65423524425200
7621435346062
oct135062255440
935224340720
1012495444768
115332397664
122508848200
1312419b3401
14867749732
154d1ed9013
hex2e8c95b20

12495444768 has 36 divisors (see below), whose sum is σ = 35533921878. Its totient is φ = 4165148160.

The previous prime is 12495444763. The next prime is 12495444779. The reversal of 12495444768 is 86744459421.

12495444768 is a `hidden beast` number, since 1 + 24 + 9 + 544 + 4 + 76 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11588953104 + 906491664 = 107652^2 + 30108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×124954447682 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12495444763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21693193 + ... + 21693768.

Almost surely, 212495444768 is an apocalyptic number.

12495444768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12495444768 is an abundant number, since it is smaller than the sum of its proper divisors (23038477110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12495444768 is a wasteful number, since it uses less digits than its factorization.

12495444768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43386977 (or 43386966 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 12495444768 in words is "twelve billion, four hundred ninety-five million, four hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 43386961 86773922 130160883 173547844 260321766 347095688 390482649 520643532 694191376 780965298 1041287064 1388382752 1561930596 2082574128 3123861192 4165148256 6247722384 12495444768